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A criterion for cohomological dimension

Karen Acquista
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Abstract

We give a criterion for the cohomological dimension of a field, involving norm maps on Milnor K-theory; this criterion was originally formulated by Kato. The theorem we prove is a generalization of a theorem in Serre's book on Galois cohomology.

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Karen Acquista. 2005-11-08. A criterion for cohomological dimension. https://arxiv.org/abs/math/0511211

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